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13885456 = 2413241277
BaseRepresentation
bin110100111110…
…000000010000
3222010110021011
4310332000100
512023313311
61213340304
7226011244
oct64760020
928113234
1013885456
117924392
124797694
132b52260
141bb6424
151344321
hexd3e010

13885456 has 40 divisors (see below), whose sum is σ = 29197784. Its totient is φ = 6359040.

The previous prime is 13885451. The next prime is 13885463. The reversal of 13885456 is 65458831.

It can be written as a sum of positive squares in 4 ways, for example, as 313600 + 13571856 = 560^2 + 3684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13885451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49990 + ... + 50266.

Almost surely, 213885456 is an apocalyptic number.

13885456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13885456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14598892).

13885456 is an abundant number, since it is smaller than the sum of its proper divisors (15312328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13885456 is a wasteful number, since it uses less digits than its factorization.

13885456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its digits is 115200, while the sum is 40.

The square root of 13885456 is about 3726.3193636617. The cubic root of 13885456 is about 240.3551224226.

It can be divided in two parts, 13885 and 456, that added together give a palindrome (14341).

The spelling of 13885456 in words is "thirteen million, eight hundred eighty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 241 277 482 554 964 1108 1928 2216 3133 3601 3856 4432 6266 7202 12532 14404 25064 28808 50128 57616 66757 133514 267028 534056 867841 1068112 1735682 3471364 6942728 13885456